Two masses of 1 kg and 16 kg are moving ...

Two masses of 1 kg and 16 kg are moving with equal kinetic energy. The ratio of magnitude of the linear momentum is:

A

`1 : 2`

B

`1 : 4`

C

`1 : sqrt(2)`

D

`sqrt(2) : 1`

Verified by Experts

The correct Answer is:

B

Kinetic energy, `K = 1/2 mv^2 = ((mv)^2)/(2m) = (p^2)/(2m) implies p = sqrt(2 m k) "or" p prop sqrt(m)`
`(P_1)/(P_2) = sqrt(1/16) = 1/4`.

Similar Questions

Explore conceptually related problems

Two masses of 1 g and 4 g are moving the equal kinetic energy. Ratio of the magnitude of their linear momentum is

Two masses of 1 gm and 4 gm are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentums is

Two masses of 1 gm and 4 gm are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

Two masses of 1 kg and 9 kg are moving with equal kinetic energies. What is the ratio of the magnitudes of their respective linear momenta?

Two masses of 4kg and 16kg are moving with equal K.E. The ratio of magnitude of the linear momentum is

A 4 kg mass and a 1 kg mass are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

Two masses of 1 kg and 4 kg are moving with equal kinetic energies. What is the ratio of the magnitudes of their momenta?

Two bodies of masses 1g and 16g are moving with equal kinetic energies. Find the ratio of the magnitudes of their linear momenta.

Two masses 1g and 9g are moving with equal kinetic energies. The ratio of the magnitudes of their respective linear momenta is